1. The problem statement, all variables and given/known data Let p be an arbitrary polynomial p(x) = anxn + an-1xn-1 + ... + a1x + a0, an cannot equal 0. a) Find (dn/dxn)[p(x)] b)What is (dk/dxk)[p(x)] for k>n 2. Relevant equations 3. The attempt at a solution Im actually not really sure what to do for this question. For the first part i tried to take the first three derivatives and got (d/dx)[p(x)] = a1 (d2/dx2)[p(x)] = 2a2x + a1 (d3/dx3)[p(x)] = 3a3x2 + 2a2x + a1 (dn/dxn)[p(x)] = nanxn-1 + (n-1)a(n-1)xn-2 + ... + a1 Thats my guess, im not sure of how to do it. As for part b: I dont even know how to approach this question, my only assumption is that its the same answer again with all the n's replaced with k's. I am certain this is wrong so please help me do this question both a and b. Thank you.